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Graph of |x|

If fx=|x| and...

Question

If $f (x) = | x |$ and graph of $f (x - a)$ is

, then the value of $2 a$ is

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Solution

Graph of $f (x) = | x |$ is

Now the graph of $f (x - a)$ is

This is graph of $| x - 2.5 |$
Therefore
$f (x - 2.5) = | x - 2.5 |$
$∴ a = 2.5 \Rightarrow 2 a = 5$

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